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22010010111100 = 225211296191114651
BaseRepresentation
bin1010000000100100110101…
…10101011000110001111100
32212221010200110002200120101
411000102122311120301330
510341103000042023400
6114451131542330444
74431112366043224
oct500223265306174
985833613080511
1022010010111100
1170164359a9510
12257582ba29a24
13c386c566586b
1456140c343084
152827e6a6c56a
hex14049ad58c7c

22010010111100 has 144 divisors (see below), whose sum is σ = 53987500828800. Its totient is φ = 7715161440000.

The previous prime is 22010010111007. The next prime is 22010010111139. The reversal of 22010010111100 is 111101001022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19188775 + ... + 20303425.

It is an arithmetic number, because the mean of its divisors is an integer number (374913200200).

Almost surely, 222010010111100 is an apocalyptic number.

22010010111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010010111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993750414400).

22010010111100 is an abundant number, since it is smaller than the sum of its proper divisors (31977490717700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010010111100 is a wasteful number, since it uses less digits than its factorization.

22010010111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115324 (or 1115317 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22010010111100 its reverse (111101001022), we get a palindrome (22121111112122).

The spelling of 22010010111100 in words is "twenty-two trillion, ten billion, ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 619 638 725 1100 1238 1276 1450 1595 2476 2900 3095 3190 6190 6380 6809 7975 12380 13618 15475 15950 17951 27236 30950 31900 34045 35902 61900 68090 71804 89755 136180 170225 179510 197461 340450 359020 394922 448775 680900 789844 897550 987305 1114651 1795100 1974610 2229302 3949220 4458604 4936525 5573255 9873050 11146510 12261161 19746100 22293020 24522322 27866275 32324879 49044644 55732550 61305805 64649758 111465100 122611610 129299516 161624395 245223220 306529025 323248790 355573669 613058050 646497580 689968969 711147338 808121975 1226116100 1379937938 1422294676 1616243950 1777868345 2759875876 3232487900 3449844845 3555736690 6899689690 7111473380 7589658659 8889341725 13799379380 15179317318 17249224225 17778683450 20009100101 30358634636 34498448450 35557366900 37948293295 40018200202 68996896900 75896586590 80036400404 100045500505 151793173180 189741466475 200091001010 220100101111 379482932950 400182002020 440200202222 500227502525 758965865900 880400404444 1000455005050 1100500505555 2000910010100 2201001011110 4402002022220 5502502527775 11005005055550 22010010111100